A linear equation can be expressed by a straight line on a graph.
The intersecting point of two straight lines is the solution of linear equation represented by them.
Now let us find the points on 2x + 3y = 12
So the line represented by the equation 2x + 3y = 12 passes through the points (0, 4) and (6, 0).
Similarly 3x + 2y = 13 passes through the points (1, 5) and (3, 2)
Now, see the graph
So x = 3, and y = 2 is the solution of above system.